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Finding the Third Proportional to 174,552.75 and 266,901.63

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Solution

The third proportional to 174,552.75 and 266,901.63 is: 408,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,552.75 : 266,901.63 = 266,901.63 : x
  2. Step 2: Convert to fraction form
    174,552.75/266,901.63 = 266,901.63/x
  3. Step 3: Cross multiply
    174,552.75x = 266,901.63 × 266,901.63
  4. Step 4: Simplify right side
    174,552.75x = 71,236,477,427.64
  5. Step 5: Solve for x
    x = 71,236,477,427.64/174,552.75
  6. Step 6: Final answer
    x = 408,108.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.